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Finding the Fourth Proportional to 730.44, 1,095.66 and 714.96

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Solution

The fourth proportional to 730.44, 1,095.66 and 714.96 is: 1,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.44 : 1,095.66 = 714.96 : x
  2. Step 2: Convert to fraction form
    730.44/1,095.66 = 714.96/x
  3. Step 3: Cross multiply
    730.44x = 1,095.66 × 714.96
  4. Step 4: Simplify right side
    730.44x = 783,353.07
  5. Step 5: Solve for x
    x = 783,353.07/730.44
  6. Step 6: Final answer
    x = 1,072.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.